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tan(x/2)=0

tan(x/2)=0 equation

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Numerical solution:

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The solution

You have entered [src]
   /x\    
tan|-| = 0
   \2/    
$$\tan{\left(\frac{x}{2} \right)} = 0$$
Detail solution
Given the equation
$$\tan{\left(\frac{x}{2} \right)} = 0$$
- this is the simplest trigonometric equation
with the change of sign in 0

We get:
$$\tan{\left(\frac{x}{2} \right)} = 0$$
This equation is transformed to
$$\frac{x}{2} = \pi n + \operatorname{atan}{\left(0 \right)}$$
Or
$$\frac{x}{2} = \pi n$$
, where n - is a integer
Divide both parts of the equation by
$$\frac{1}{2}$$
we get the answer:
$$x_{1} = 2 \pi n$$
The graph
Sum and product of roots [src]
sum
0
$$0$$
=
0
$$0$$
product
0
$$0$$
=
0
$$0$$
0
Rapid solution [src]
x1 = 0
$$x_{1} = 0$$
x1 = 0
Numerical answer [src]
x1 = 69.1150383789755
x2 = -50.2654824574367
x3 = 25.1327412287183
x4 = 18.8495559215388
x5 = 56.5486677646163
x6 = 94.2477796076938
x7 = -69.1150383789755
x8 = -81.6814089933346
x9 = 50.2654824574367
x10 = 43.9822971502571
x11 = 87.9645943005142
x12 = -43.9822971502571
x13 = -6.28318530717959
x14 = -18.8495559215388
x15 = 81.6814089933346
x16 = -62.8318530717959
x17 = 6.28318530717959
x18 = -94.2477796076938
x19 = -12.5663706143592
x20 = 75.398223686155
x21 = -75.398223686155
x22 = -31.4159265358979
x23 = 62.8318530717959
x24 = -56.5486677646163
x25 = -87.9645943005142
x26 = 37.6991118430775
x27 = -25.1327412287183
x28 = 100.530964914873
x29 = -37.6991118430775
x30 = 0.0
x31 = 31.4159265358979
x32 = 12.5663706143592
x33 = -100.530964914873
x33 = -100.530964914873
The graph
tan(x/2)=0 equation